What is the measure of

We should expect the average of these sample mean test scores to equal 547.35, using the Central Limit Theorem.

The Central Limit Theorem defines the distribution of the sampling distribution of sample means with size n of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex].

For a skewed, that is, a non-normal variable, the sampling distribution is also approximately normal, as long as n is at least 30.

Hence, we should expect the average of these sample mean test scores to equal the population mean of 547.35.

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Answer:

1. mean = 980 median = $895.5

2. 308, 593, 895.5, 1425, 1720

3. 491.7978

4. 895.5

5. 50.28%

Step-by-step explanation:

1. mean $1,589+$593+$1,223+$869+$423+$1,720+$708+$1,425+$922+$308/10

= 9780/10

= $978

median

We first arrange the values in ascending order

308,423,593,708,869,922,1223,1425,1589,1720

number of observation is even so we pick the 2 values in the middle and divide by 2

= 869+922/2

= $1791/2

$895.5

2. five number summary of change

the botom half of th dta set = 308,423,593,708,869

minimum value = 308

n = 5

median = 593 = q1

from 1, q2 = median = $895.5

the upper half of data

922,1223,1425,1589,1720

n = 5

median = $1425

maximum value = $1720

the five number summary of change in cost is therefore

308, 593, 895.5, 1425, 1720

3. standard deviation

[tex]s =[\sqrt{x-barx} ]^{2} \frac{1}{n-1}[/tex]

bar x is the mean = 978

($1,589-978)²+ ($593-978)²+ ($1,223-978)²+ ($869-978)+ ($423-978)²+ $1,720-978)²+($708-978)²+ ($1,425-978)²+ ($922-978)²+ ($308-978)²

= 2176786

=[tex]\sqrt\frac{1}{10-1} {2176786} \\\sqrt{ \frac{2176786}{9}[/tex]

= [tex]\sqrt{241865.1}[/tex]

= 491.7978

4.  middle 50% is spread over the median, which is 895.5

5.  coefficient of variation

= s/bar x * 100

= 491.7978/978 * 100

= 49179.78/978

= 50.28%

6. z score = x - mean/s

x = 1589

= 1589-978/491.7978

= 1.2424

for x = 593

593-978/491.7978

= -0.7828

= 0.7828

for x = 1223

1223-978/491.7978

= 0.4982

for x = 869

869-978/491.7978

= -0.2216

= 0.2216

for x = 423

423-978/491.7978

= -1.1285

= 1.1285

x = 1720

1720-978/491.7978

z = 1.5088

for x = 708

708-978/491.7978

= -0.5490

= 0.5490

for x = 1425

1425-978/491.7978

= 0.9089

for x = 922

922-978/491.7978

= -0.1139

= 0.1139

for x = 308

308-978/491.7978

= -1.3624

= 1.3624

Answer:

it should be the second one

Step-by-step explanation:

.........

Answer:

B

Step-by-step explanation:

the graph of a quadratic cannot be a straight line.

I'm backkkk!

40 = 5 (w - 2)            would be the equation.

40 = 5w - 10              using the distributive property.

+ 10        + 10             because you must add to both sides to get rid of the 10.

50 = 5w

/5      /5                      again, keep the same on both sides, and...

10 = w

Answer:

209.2

Step-by-step explanation:

Answer:

He will charge $28.

Step-by-step explanation:

We know that Jamal charges $3.50 per square yard.

Now we need to find the area in the image, it may be kinda hard to see it, but we can think of the image as a rectangle of 4yd by 3yd where we subtracted the area of a square of side length equal to 2yd.

The area of the rectangle is:

A = 4yd*3yd = 12 yd^2

And the area of the square is:

a = (2yd)^2 = 4 yd^2

The area of our image (equal to the difference between the area of the rectangle and the area of the square) is:

Area = A - a = 12 yd^2 - 4 yd^2 = 8 yd^2

Area = 8 yd^2

And he charges $3.50 per square yard, then for 8 square yards he charges 8 times that amount, which is:

C = 8*$3.50 = $28

Answer:

no

Step-by-step explanation:

1/7 is positive, -5 is negative. Negative is less than positive

Answer:

1/216

1/8 *1/3³ ( cross multiply ) = 1/216

Did you only need the answer for the one on the top right?? Or all of them because If you need all of them I can do that too I am just assuming you just needed that one because it was selected.

Answer:

Telling Now magazine costs the least per issue.

Step-by-step explanation:

Cost of Roller's Magazine per issue=$18/6=$3

Cost of International Traveler per issue=$32/8=$4

Cost of Telling Now per issue=$25/10=$2.5

Cost of Greatest Adventures per issue=$36/12=$3

The cost of Telling Now magazine per issue is the least one of all.

Answer:

The mean of the sampling distribution of sample means would be of 23.4 pounds.

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

What would be the mean of the sampling distribution of sample means?

By the Central Limit Theorem, the population mean, that is, of 23.4 pounds.

Answer:

x = 43.9

Step-by-step explanation:

sin 20° = 15/x

0.3420 = 15/x

x = 43.86

Answer:

a 99.8% confidence interval for this probability, after learning that 35 of the last 93 Red Shirts who beamed down with Kirk met an ...

Answer:

ANSWER IS C,,, 0

Step-by-step explanation:

the J+8 is basically going along with that the answer J+8 could be LESS than or equal to 8 if we pick any other number its going to be GREATER than 8 an we want LESS than 8,,,hope this helps.

Answer:

-3 (x - y)

expand

-3.(x)  -3 (-y)

-3.(x)  +3 (y)  multiplication of (-1).(-1) = (+1)

Step-by-step explanation:

Answer:

74

Step-by-step explanation:

14.

Step-by-step explanation:

6x+6=90 (being a straight line)

6x=90-6

6x=84

x= 84/6

x=14.

Answer:

78

Step-by-step explanation:

this the first valuvate but It

Answer:

(X + 9)(x -9)

Step-by-step explanation:

Subtraction of perfect squares:

The factors of a subtraction of perfect squares is given by:

[tex]a^2 - b^2 = (a-b)(a+b)[/tex]

What are the factors of x² - 81?

This can be written as:

[tex]x^2 - 81 = (x)^2 - (9)^2[/tex]

So

[tex](x)^2 - (9)^2 = (x - 9)(x+9)[/tex]

Answer:

(X + 9)(x -9)

Step-by-step explanation:

please like it up and 5 stars

Answer: x=11

Step-by-step explanation: plz mark me brainliest

Answer:

I believe its x = 11 hope for le its right

Slope of y = -⅓x + 3 is -⅓ (on comparing with m of y = mx + c)

As the required line is perpendicular to this, slope of the required line = - 1 / (-⅓) = 3

Equation:

=> y - y1 = m(x - x1)

=> y - 0 = (3)(x - (-2))

=> y = 3(x + 2)

=> 3x - y + 6 = 0

Answer:

D

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

The absolute Error is 5.66%.

The discrepancy between a quantity's measured or inferred value and its actual value is known as the absolute error.

The absolute error is insufficient because it provides no information about the significance of the error. An inaccuracy of a few centimetres when estimating the kilometres between cities is insignificant and unimportant. A measurement mistake of a few centimetres when measuring tiny machine parts is a highly important defect. Although both inaccuracies are in the centimetre range, the second one is more serious than the first.

Given:

Actual Mass = 53g

and, Measure mass= 56 g

So, Absolute Error = | 56- 53 / 56| x 100

Absolute Error = |3 / 56| x 100

Absolute Error = 0.056603 x 100

Absolute Error = 5.66%

Hence, the absolute Error is 5.66%.

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Answer:

180 square inches

Step-by-step explanation:

First off since the square will be easiest to do

a=a^2

a=6^2

a=36

now for the triangles

a= height of triangle * base/ 2

a= 12*6/2

a= 36

and since there is 4 of the triangles we multiply 36 by 4

=144

now we add 144 to 36 and we have the total

9514 1404 393

Answer:

  4.4 in³

Step-by-step explanation:

The formula for the volume of a cone is ...

  V = 1/3πr²h

For the given dimensions, the volume is ...

  V = 1/3π(1.2 in)²(2.9 in) = 1.392π in³ ≈ 4.4 in³